Quiz 6:

1. Which of the following statements is not correct?

• A. Average velocity is change in displacement per a unit time.
• B. Average velocity has the same direction as displacement.
• C. Instantaneous velocity is equal to average velocity evaluated at a very very small interval time.
• D. The x component of average velocity of a particle is equal to the change in its x coordinate per a unit time.
• E. Average velocity and speed are the same.

2. A particle is displaced from the point ( 4 m, 8 m ) to the point ( 9 m, 11 m ). Calculate the direction (with respect to the positive x axis) of its displacement vector.

• A. 30.964 deg
• B. 48.819 deg
• C. 55.086 deg
• D. 8.936 deg
• E. 21.789 deg

3. A particle is displaced from the point ( 8 m, 100 m ) to the point ( 3 m, 70 m ) in 30 seconds. Calculate the vertical component of its average velocity.

• A. -0.746 m ⁄ s
• B. -0.896 m ⁄ s
• C. -1 m ⁄ s
• D. -1.523 m ⁄ s
• E. -0.265 m ⁄ s

4. A bullet is fired horizontally from a 100 m tall building with a speed of 600 m ⁄ s. How long will it take to hit the ground?

• A. 4.518 s
• B. 7.437 s
• C. 8.405 s
• D. 5.084 s
• E. 2.661 s

5. A bullet is fired horizontally from a 20 m tall building with a speed of 900 m ⁄ s. Calculate the vertical component of its velocity just before it hits the ground?

• A. -23.166 m ⁄ s
• B. -19.799 m ⁄ s
• C. -14.444 m ⁄ s
• D. -26.593 m ⁄ s
• E. -11.932 m ⁄ s

6. A bullet is fired horizontally from a 90 m tall building with a speed of 900 m ⁄ s. How far (horizontally) will it fall?

• A. 1394.261 m
• B. 3857.143 m
• C. 502.931 m
• D. 5521.316 m
• E. 5954.322 m

7. A bullet is fired from the ground making an angle of 40 deg with the horizontal with a speed of 1500 m ⁄ s. How long it will take to reach its maximum height?

• A. 81.776 s
• B. 135.652 s
• C. 29.679 s
• D. 181.096 s
• E. 98.386 s

8. A bullet is fired from the ground making an angle of 30 deg with the horizontal with a speed of 900 m ⁄ s. Calculate the maximum height reached?

• A. 8950.697 m
• B. 3694.377 m
• C. 17814.76 m
• D. 10331.633 m
• E. 15390.739 m

9. A bullet is fired from the ground making an angle of 20 deg with the horizontal with a speed of 500 m ⁄ s. How far (horizontally) will it fall?

• A. 18543.457 m
• B. 22972.788 m
• C. 29018.456 m
• D. 3159.434 m
• E. 16397.643 m

10. A bullet is fired from a 90 m tall building with a speed of 1200 m ⁄ s making an angle of 50 deg with the horizontal. Calculate the vertical component of its velocity by the time it hits the ground.

• A. -772.74 m ⁄ s
• B. -920.212 m ⁄ s
• C. -1623.075 m ⁄ s
• D. -433.872 m ⁄ s
• E. -1241.342 m ⁄ s